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44444334240 = 2532530864121
BaseRepresentation
bin101001011001000101…
…101011100010100000
311020201101212002221100
4221121011223202200
51212010222143430
632230100154400
73132241415325
oct513105534240
9136641762840
1044444334240
1117937739149
128744398a00
134263a68b37
142218946b4c
151251c7b960
hexa5916b8a0

44444334240 has 72 divisors (see below), whose sum is σ = 151666295508. Its totient is φ = 11851822080.

The previous prime is 44444334173. The next prime is 44444334283. The reversal of 44444334240 is 4243344444.

44444334240 is a `hidden beast` number, since 4 + 44 + 44 + 334 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44306882064 + 137452176 = 210492^2 + 11724^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44444334195 and 44444334204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15430621 + ... + 15433500.

Almost surely, 244444334240 is an apocalyptic number.

44444334240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44444334240 is an abundant number, since it is smaller than the sum of its proper divisors (107221961268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44444334240 is a wasteful number, since it uses less digits than its factorization.

44444334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30864142 (or 30864131 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 44444334240 its reverse (4243344444), we get a palindrome (48687678684).

The spelling of 44444334240 in words is "forty-four billion, four hundred forty-four million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 30864121 61728242 92592363 123456484 154320605 185184726 246912968 277777089 308641210 370369452 462961815 493825936 555554178 617282420 740738904 925923630 987651872 1111108356 1234564840 1388885445 1481477808 1851847260 2222216712 2469129680 2777770890 2962955616 3703694520 4444433424 4938259360 5555541780 7407389040 8888866848 11111083560 14814778080 22222167120 44444334240